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Finding the Fourth Proportional to 15,270.21, 22,898.07 and 5,914.61

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Solution

The fourth proportional to 15,270.21, 22,898.07 and 5,914.61 is: 8,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.21 : 22,898.07 = 5,914.61 : x
  2. Step 2: Convert to fraction form
    15,270.21/22,898.07 = 5,914.61/x
  3. Step 3: Cross multiply
    15,270.21x = 22,898.07 × 5,914.61
  4. Step 4: Simplify right side
    15,270.21x = 135,433,153.80
  5. Step 5: Solve for x
    x = 135,433,153.80/15,270.21
  6. Step 6: Final answer
    x = 8,869.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.